Measurements

Money - Commission

By the end of the lesson, the learner should be able to:

- Calculate commission
- Apply the concept of commission in real life situations
- Appreciate the importance of commission in business

- Role-play scenarios involving commission-based sales
- Calculate commission based on value of goods or services sold
- Solve problems involving commission

How do we calculate commission?

- Oxford Active Mathematics 7
- Page 184
- Writing materials

- Observation - Written assignments - Class activities

Measurements

Money - Percentage commission
Money - Bills at home

By the end of the lesson, the learner should be able to:

- Calculate percentage commission
- Apply percentage commission in real life situations
- Value the concept of percentage commission

- Express commission as a fraction of the value of sales
- Convert the fraction to percentage
- Calculate percentage commission in various scenarios
- Solve problems involving percentage commission

How do we calculate percentage commission?

- Oxford Active Mathematics 7
- Page 186
- Writing materials
- Calculator
- Page 187
- Sample bills

- Observation - Written assignments - Class activities

Measurements

Money - Preparing bills

By the end of the lesson, the learner should be able to:

- Prepare bills for goods and services
- Apply bill preparation in real life situations
- Show interest in preparing bills

- Role-play seller and buyer scenarios
- Prepare bills for goods and services
- Include necessary details in bills (items, quantities, unit prices, totals)

How do we prepare bills?

- Oxford Active Mathematics 7
- Page 188
- Samples of shopping bills
- Imitation money

- Observation - Written assignments - Class activities

Measurements

Money - Postal charges

By the end of the lesson, the learner should be able to:

- Identify postal services
- Calculate postal charges for different items
- Appreciate the importance of postal services

- Visit or discuss about the nearest post office
- Identify services offered at the post office
- Calculate charges for sending letters, parcels, and other items
- Solve problems involving postal charges

How do we calculate charges to send items to different places?

- Oxford Active Mathematics 7
- Page 190
- Inland postal charges tables
- Writing materials

- Observation - Written assignments - Class activities

Measurements

Money - International postal charges
Money - Mobile money services

By the end of the lesson, the learner should be able to:

- Distinguish between inland and international postal services
- Calculate international postal charges
- Value the importance of international postal services

- Study tables showing international postal charges
- Calculate charges for sending items to different countries
- Compare charges for different methods of sending items internationally

How do we calculate charges to send items to other countries?

- Oxford Active Mathematics 7
- Page 192
- International postal charges tables
- Writing materials
- Page 198
- Charts showing mobile money charges

- Observation - Written assignments - Class activities

Measurements
Geometry

Money - Mobile money transactions
Angles on a straight line

By the end of the lesson, the learner should be able to:

- Work out mobile money transactions
- Calculate charges for mobile money transactions
- Value the use of mobile money in daily activities

- Study mobile money transaction charges charts
- Calculate charges for sending, receiving, and withdrawing money
- Solve problems involving mobile money transactions

How do we work out the charges to send or receive money?

- Oxford Active Mathematics 7
- Page 199
- Mobile money transaction charges charts
- Oxford Active Mathematics pg. 206
- Protractors
- Rulers
- Straight edges
- Charts showing angles on a straight line
- Digital resources with angle demonstrations

- Observation - Written assignments - Class activities

Geometry

Angles on a straight line
Angles at a point

By the end of the lesson, the learner should be able to:

- Apply the concept of supplementary angles
- Solve problems involving angles on a straight line
- Appreciate use of angles on a straight line in real life

- Learners work out the values of angles on a straight line
- Learners discuss how angles on a straight line add up to 180°
- Learners practice solving problems involving supplementary angles

Where do we use angles on a straight line in real life?

- Oxford Active Mathematics pg. 207
- Unit angles
- Worksheets with angle problems
- Objects with angles from the environment
- Online angle calculators
- Oxford Active Mathematics pg. 208
- Protractors
- Rulers
- Angle charts showing angles at a point
- Digital devices for angle demonstrations
- Cut-out models of angles at a point

- Written tests - Oral questions - Class activities

Geometry

Angles at a point
Alternate angles
Corresponding angles

By the end of the lesson, the learner should be able to:

- Determine the values of angles at a point
- Identify vertically opposite angles
- Appreciate the use of angles at a point in real life

- Learners calculate values of angles at a point
- Learners identify and discuss vertically opposite angles
- Learners work through examples involving angles at a point

What are vertically opposite angles?

- Oxford Active Mathematics pg. 209
- Protractors
- Rulers
- Worksheets with problems involving angles at a point
- Geometrical models
- Videos on angles at a point
- Oxford Active Mathematics pg. 210
- Parallel line models
- Charts showing alternate angles
- Digital resources with angle demonstrations
- Colored pencils to mark angles
- Oxford Active Mathematics pg. 211
- Charts showing corresponding angles
- Worksheets with corresponding angle problems
- Colored pencils

- Written tests - Oral questions - Class activities

Geometry

Co-interior angles
Angles in a parallelogram

By the end of the lesson, the learner should be able to:

- Identify co-interior angles
- Determine the values of co-interior angles
- Appreciate relationships among angles

- Learners draw parallel lines and a transversal
- Learners mark and measure angles formed
- Learners identify co-interior angles and discover they sum to 180°

What are co-interior angles?

- Oxford Active Mathematics pg. 212
- Protractors
- Rulers
- Parallel line models
- Charts showing co-interior angles
- Digital resources with angle demonstrations
- Worksheets with angle problems
- Oxford Active Mathematics pg. 213
- Parallelogram models
- Cardboard cut-outs of parallelograms
- Worksheets with problems involving parallelograms
- Digital devices for demonstrations

- Observation - Oral questions - Written assignments

Geometry

Angle properties of polygons
Exterior angles of a polygon

By the end of the lesson, the learner should be able to:

- Identify different types of polygons
- Determine the sum of interior angles in polygons
- Appreciate angle properties of polygons

- Learners draw different polygons
- Learners measure the interior angles of each polygon
- Learners discuss the relationship between number of sides and sum of interior angles

How do we get the sum of the interior angles in a polygon?

- Oxford Active Mathematics pg. 214
- Protractors
- Rulers
- Cut-outs of different polygons
- Charts showing polygon properties
- Worksheets with polygon problems
- Digital resources with polygon demonstrations
- Oxford Active Mathematics pg. 215
- Charts showing exterior angles

- Observation - Oral questions - Written assignments

Geometry

Measuring angles

By the end of the lesson, the learner should be able to:

- Identify different types of angles
- Measure angles using a protractor
- Appreciate the importance of measuring angles accurately

- Learners draw different types of angles
- Learners measure angles using a protractor
- Learners practice measuring various angles

How do we measure angles?

- Oxford Active Mathematics pg. 220
- Protractors
- Rulers
- Angle charts
- Worksheets with different types of angles
- Digital angle measuring apps
- Objects with angles from the environment

- Observation - Oral questions - Written assignments

Geometry

Bisecting angles

By the end of the lesson, the learner should be able to:

- Understand the concept of angle bisection
- Bisect angles using a ruler and compass
- Show interest in bisecting angles

- Learners draw angles of various sizes
- Learners use a ruler and compass to bisect angles
- Learners verify bisection by measuring the resulting angles

Which steps do we follow to bisect an angle?

- Oxford Active Mathematics pg. 221
- Protractors
- Rulers
- Pair of compasses
- Charts showing angle bisection steps
- Videos demonstrating angle bisection
- Worksheets with angles to bisect

- Written tests - Oral questions - Class activities

Geometry

Constructing 90° and 45°
Constructing 60° and 30°

By the end of the lesson, the learner should be able to:

- Construct 90° using a ruler and compass
- Construct 45° using a ruler and compass
- Show interest in geometric constructions

- Learners draw a straight line and mark a point on it
- Learners construct 90° using a ruler and compass
- Learners bisect 90° to obtain 45°

How do we construct 90° and 45° angles?

- Oxford Active Mathematics pg. 222
- Rulers
- Pair of compasses
- Protractors for verification
- Charts showing construction steps
- Videos demonstrating angle construction
- Construction worksheets
- Oxford Active Mathematics pg. 223

- Observation - Oral questions - Written assignments

Geometry

Constructing 120°

By the end of the lesson, the learner should be able to:

- Construct 120° using a ruler and compass
- Apply construction skills in different contexts
- Show interest in angle constructions

- Learners draw a straight line
- Learners construct 60° twice to obtain 120°
- Learners verify the construction by measuring the angle

Which steps do we follow to construct 120°?

- Oxford Active Mathematics pg. 224
- Rulers
- Pair of compasses
- Protractors for verification
- Charts showing construction steps
- Videos demonstrating 120° construction
- Construction worksheets

- Observation - Oral questions - Written assignments

Geometry

Constructing 150°

By the end of the lesson, the learner should be able to:

- Construct 150° using a ruler and compass
- Apply construction skills in different contexts
- Show interest in angle constructions

- Learners draw a straight line
- Learners construct 30° and identify that the adjacent angle is 150°
- Learners verify the construction by measuring the angle

Which steps do we follow to construct 150°?

- Oxford Active Mathematics pg. 225
- Rulers
- Pair of compasses
- Protractors for verification
- Charts showing construction steps
- Videos demonstrating 150° construction
- Construction worksheets

- Written tests - Oral questions - Class activities

Geometry

Constructing 75° and 105°
Constructing multiples of 7.5°

By the end of the lesson, the learner should be able to:

- Construct 75° using a ruler and compass
- Construct 105° using a ruler and compass
- Show interest in angle constructions

- Learners construct 90° and 60° within it
- Learners bisect 30° to obtain 75°
- Learners identify that the adjacent angle to 75° is 105°

How do we construct 75° and 105°?

- Oxford Active Mathematics pg. 226
- Rulers
- Pair of compasses
- Protractors for verification
- Charts showing construction steps
- Videos demonstrating angle construction
- Construction worksheets

- Observation - Oral questions - Written assignments

Geometry

Constructing equilateral triangles

By the end of the lesson, the learner should be able to:

- Identify properties of an equilateral triangle
- Construct an equilateral triangle using a ruler and compass
- Show interest in constructing triangles

- Learners draw a straight line of given length
- Learners use a compass to mark arcs
- Learners join points to form an equilateral triangle

How do we construct an equilateral triangle?

- Oxford Active Mathematics pg. 227
- Rulers
- Pair of compasses
- Protractors for verification
- Cut-outs of equilateral triangles
- Charts showing construction steps
- Videos demonstrating triangle construction
- Construction worksheets

- Observation - Oral questions - Written assignments

Geometry

Constructing isosceles triangles

By the end of the lesson, the learner should be able to:

- Identify properties of an isosceles triangle
- Construct an isosceles triangle using a ruler and compass
- Appreciate geometric constructions

- Learners draw a straight line of given length
- Learners use a compass to mark arcs of equal radius
- Learners join points to form an isosceles triangle

How do we construct an isosceles triangle?

- Oxford Active Mathematics pg. 228
- Rulers
- Pair of compasses
- Protractors for verification
- Cut-outs of isosceles triangles
- Charts showing construction steps
- Videos demonstrating triangle construction
- Construction worksheets

- Written tests - Oral questions - Class activities

Geometry

Constructing right-angled triangles
Constructing circles

By the end of the lesson, the learner should be able to:

- Identify properties of a right-angled triangle
- Construct a right-angled triangle using a ruler and compass
- Show interest in triangle constructions

- Learners draw a straight line
- Learners construct a 90° angle
- Learners complete the triangle by joining points

How do we construct a right-angled triangle?

- Oxford Active Mathematics pg. 229
- Rulers
- Pair of compasses
- Protractors for verification
- Cut-outs of right-angled triangles
- Charts showing construction steps
- Videos demonstrating triangle construction
- Construction worksheets
- Oxford Active Mathematics pg. 231
- String and sticks for outdoor activities
- Circular objects of different sizes
- Charts showing circle elements
- Videos demonstrating circle construction

- Observation - Oral questions - Written assignments

Numbers

Integers - Identifying integers
Integers - Representing integers on a number line

By the end of the lesson, the learner should be able to:

-Identify integers in different situations
-Show interest in learning about integers

-Identify integers by carrying out activities involving positive and negative numbers and zero. For example, climbing up stairs (positive), going down stairs (negative).
-Stand at a point (the zero point) and count the number of steps moved either forward or backward.

Where do we use integers in real life situations?

MENTOR Mathematics Learner's Book pg. 1
-Number lines
-Number cards
MENTOR Mathematics Learner's Book pg. 2-3
-Wood ash

-Observation -Oral questions -Written assignments

Numbers

Integers - Addition of integers
Integers - Subtraction of integers
Integers - Combined operations

By the end of the lesson, the learner should be able to:

-Add integers on a number line
-Appreciate the use of number line in addition of integers

-Perform addition operations of integers on a number line.
-Use counters to represent positive and negative integers and perform addition.

How do we add integers on a number line?

MENTOR Mathematics Learner's Book pg. 4-5
-Red and blue counters
-Number lines
MENTOR Mathematics Learner's Book pg. 5-6
-Games
MENTOR Mathematics Learner's Book pg. 7-8
-Number cards

-Observation -Oral questions -Written assignments

Numbers

Integers - Real life applications
Fractions - Combined operations (Addition and subtraction)
Fractions - Combined operations (Multiplication and division)

By the end of the lesson, the learner should be able to:

-Apply operations of integers in real life situations
-Appreciate the use of integers in daily life

-Discuss real-life applications of integers such as temperature, altitude, profit and loss.
-Use IT or other resources to learn more on operations of integers on number lines.

How do we apply integers in real life situations?

MENTOR Mathematics Learner's Book pg. 8-9
-Digital resources
-Internet
MENTOR Mathematics Learner's Book pg. 15
-Fraction cards
-Practice cards
MENTOR Mathematics Learner's Book pg. 17-18

-Observation -Oral questions -Written tests

Numbers

Fractions - Combined operations
Fractions - Operations in real life situations

By the end of the lesson, the learner should be able to:

-Carry out combined operations on fractions
-Show interest in working with fractions

-Discuss the procedure to follow when working out combined operations on fractions.
-Work out fractions involving all operations following the correct order.

How do we solve problems involving all operations on fractions?

MENTOR Mathematics Learner's Book pg. 19
-Practical cards
-Digital resources
MENTOR Mathematics Learner's Book pg. 20-22
-Charts
-Fraction boards

-Observation -Oral questions -Written tests

Numbers

Fractions - Digital applications
Fractions - Applications in various contexts
Decimals - Converting fractions to decimals

By the end of the lesson, the learner should be able to:

-Use IT devices for learning more on fractions
-Enjoy working with fractions using technology

-Play games of operations on fractions using IT devices or other resources.
-Solve fraction problems using digital tools.

How can we use digital tools to learn about fractions?

MENTOR Mathematics Learner's Book pg. 22
-Digital devices
-Internet resources
-Reference materials
-Picture charts
MENTOR Mathematics Learner's Book pg. 35
-Multiplication tables
-Place value charts

-Observation -Oral questions -Practical activities

Numbers

Decimals - Identifying recurring decimals
Decimals - Converting recurring decimals to fractions
Decimals - Rounding off decimals

By the end of the lesson, the learner should be able to:

-Identify recurring decimals in different situations
-Appreciate patterns in recurring decimals

-In groups, discuss and classify non-recurring and recurring decimals.
-Indicate the recurring digits in decimal numbers.

How do we identify recurring decimals?

MENTOR Mathematics Learner's Book pg. 36-37
-Decimal cards
-Calculator
MENTOR Mathematics Learner's Book pg. 37-38
-Multiplication tables
MENTOR Mathematics Learner's Book pg. 38-39

-Observation -Oral questions -Written tests

Numbers

Decimals - Significant figures
Decimals - Standard form

By the end of the lesson, the learner should be able to:

-Express numbers to a required significant figure
-Value precision in representing numbers

-Write decimal and whole numbers to a given significant figures.
-Apply rules for determining significant figures.

When do we use significant figures?

MENTOR Mathematics Learner's Book pg. 39-40
-Place value charts
-Number cards
MENTOR Mathematics Learner's Book pg. 41-42
-Flash cards

-Observation -Oral questions -Written assignments

Numbers

Decimals - Combined operations on decimals
Decimals - Real life applications
Squares - Squares of numbers from tables

By the end of the lesson, the learner should be able to:

-Carry out combined operations on decimals
-Show interest in solving decimal problems

-Work out combined operations on decimals in the correct order.
-Apply rules of order of operations to decimal calculations.

How do we work out operations on decimals?

MENTOR Mathematics Learner's Book pg. 42-43
-Decimal cards
-Calculator
MENTOR Mathematics Learner's Book pg. 43-44
-Price lists
-Measurement tools
MENTOR Mathematics Learner's Book pg. 46-47
-Square tables
-Square cut-outs

-Observation -Oral questions -Written assignments

Numbers

Squares - Squares of numbers greater than 10
Squares - Squares of numbers less than 1

By the end of the lesson, the learner should be able to:

-Work out squares of numbers greater than 10 using tables
-Show interest in finding patterns in number squares

-Use standard form and table of squares to find squares of numbers greater than 10.
-Practice finding squares of large numbers.

How do we find squares of large numbers?

MENTOR Mathematics Learner's Book pg. 47-48
-Square tables
-Calculator
MENTOR Mathematics Learner's Book pg. 48-49

-Observation -Oral questions -Written assignments

Numbers

Squares - Using calculator for squares
Square Roots - Square roots from tables
Square Roots - Square roots of numbers greater than 10

By the end of the lesson, the learner should be able to:

-Work out squares of numbers using a calculator
-Appreciate the efficiency of using calculators for computation

-Practice working out squares using a calculator.
-Use calculator to find squares and verify results from tables.

How does a calculator simplify finding squares?

MENTOR Mathematics Learner's Book pg. 49
-Calculator
-Digital devices
MENTOR Mathematics Learner's Book pg. 50-51
-Square root tables
MENTOR Mathematics Learner's Book pg. 52-53

-Observation -Oral questions -Practical assessment

Numbers

Square Roots - Square roots of numbers less than 1
Rates - Identifying rates
Rates - Working out rates

By the end of the lesson, the learner should be able to:

-Work out square roots of numbers less than 1 using tables
-Appreciate the relationship between decimals and their square roots

-Express numbers less than 1 in standard form and use square root tables.
-Practice finding square roots of decimal numbers.

Where do we apply square roots in real life situations?

MENTOR Mathematics Learner's Book pg. 53-54
-Square root tables
-Calculator
MENTOR Mathematics Learner's Book pg. 55
-Rate cards
-Stopwatch
MENTOR Mathematics Learner's Book pg. 56-57
-Price lists

-Observation -Oral questions -Written assignments

Numbers

Ratio - Expressing fractions as ratios
Ratio - Comparing ratios

By the end of the lesson, the learner should be able to:

-Express fractions as ratios
-Appreciate the relationship between fractions and ratios

-Use cut outs from whole objects or substances to relate fractions to ratios.
-Convert between fractions and ratios.

How do we use ratios in daily activities?

MENTOR Mathematics Learner's Book pg. 58
-Circular and rectangular cut outs
-Ratio cards
MENTOR Mathematics Learner's Book pg. 59-60
-Cut-outs

-Observation -Oral questions -Written tests

Numbers

Ratio - Dividing quantities in given ratios
Ratio - Increase and decrease using ratios
Percentages - Percentage increase

By the end of the lesson, the learner should be able to:

-Divide quantities in given ratios
-Value fairness in sharing quantities according to ratios

-Discuss and share quantities of concrete objects in different ratios.
-Practice dividing quantities in given ratios.

How do we divide quantities in given ratios?

MENTOR Mathematics Learner's Book pg. 60-62
-Bottle tops
-Counters
MENTOR Mathematics Learner's Book pg. 62-63
-Ratio cards
-Number cards
MENTOR Mathematics Learner's Book pg. 64
-Charts
-Digital resources

-Observation -Oral questions -Written tests

Numbers

Percentages - Percentage decrease
Direct proportion
Direct proportion - Working out direct proportion

By the end of the lesson, the learner should be able to:

-Work out percentage decrease of given quantities
-Value the use of percentages in expressing changes

-Discuss and determine percentage decrease of different quantities.
-Solve problems involving percentage decrease.

How do we calculate percentage decrease?

MENTOR Mathematics Learner's Book pg. 65
-Charts
-Digital resources
MENTOR Mathematics Learner's Book pg. 66
-Tables
MENTOR Mathematics Learner's Book pg. 66-67
-Price lists

-Observation -Oral questions -Written assignments

Numbers

Indirect proportion
Indirect proportion - Working out indirect proportion

By the end of the lesson, the learner should be able to:

-Identify indirect proportions in real life situations
-Appreciate indirect proportional relationships

-Use hourglass to show and determine indirect relationships.
-Identify examples of indirect proportion from daily life.

What is indirect proportion?

MENTOR Mathematics Learner's Book pg. 67
-Hourglass
-Charts
MENTOR Mathematics Learner's Book pg. 67-68
-Tables
-Digital resources

-Observation -Oral questions -Written tests

Numbers

Ratios and proportions - Digital applications
Ratios and proportions - Real life applications

By the end of the lesson, the learner should be able to:

-Use IT devices to explore ratios and proportions
-Show interest in technology for mathematical learning

-Use IT devices or other materials to explore percentage change.
-Watch videos on ratios and proportions as used in daily activities.

How can we use technology to learn about ratios and proportions?

MENTOR Mathematics Learner's Book pg. 68
-Digital devices
-Videos
-Reference materials
-Picture charts

-Observation -Oral questions -Digital activities